Edge states of mechanical diamond and its topological origin

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Abstract

Amechanical diamond, with the classical mechanics of a spring-mass model arrayed on a diamond lattice, is discussed topologically. Its frequency dispersion possesses an intrinsic nodal structure in the three-dimensional Brillouin zone (BZ) protected by the chiral symmetry. Topological changes of the line nodes are demonstrated, associated with the modification of the tension. The line nodes projected into two-dimensional BZ, form loops, which are characterized by the quantized Berry phases with 0 or π. With boundaries, the edge states are discussed in relation to the Berry phases and winding numbers, and the bulk-edge correspondence of the mechanical diamond is established.

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Takahashi, Y., Kariyado, T., & Hatsugai, Y. (2017). Edge states of mechanical diamond and its topological origin. New Journal of Physics, 19(3). https://doi.org/10.1088/1367-2630/aa5edb

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